6856100 has 72 divisors (see below), whose sum is σ = 16327080. Its totient is φ = 2488320.

The previous prime is 6856079. The next prime is 6856103. The reversal of 6856100 is 16586.

It can be written as a sum of positive squares in 12 ways, for example, as 23104 + 6832996 = 152^2 + 2614^2 .

It is a super-2 number, since 2×6856100² = 94012214420000, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 6856100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6856103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 62846 + ... + 62954.

It is an arithmetic number, because the mean of its divisors is an integer number (226765).

Almost surely, 2^6856100 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6856100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8163540).

6856100 is an abundant number, since it is smaller than the sum of its proper divisors (9470980).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

6856100 is a wasteful number, since it uses less digits than its factorization.

6856100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177 (or 170 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 26.

The square root of 6856100 is about 2618.4155514356. The cubic root of 6856100 is about 189.9732187553.

The spelling of 6856100 in words is "six million, eight hundred fifty-six thousand, one hundred".